January 5.—The prize-schooner Julia was lying off in sight this morning, for the purpose of co-operating with us, should there be any attempt on the part of the enemy to interrupt the march of the battalion. We reached the mission of San Buenaventura, and encamped a short distance from it at two o'clock. Soon after, a small party of Californians exhibited themselves on an elevation just beyond the mission. The battalion was immediately called to arms, and marched out to meet them. But, after the discharge of the two field-pieces, they scampered away like a flock of antelopes, and the battalion returned to camp, with none killed or wounded on either side. Under the belief that there was a larger force of Californians encamped at a distance of some five or six miles, and that during the night they might attempt a surprise, or plant cannon on the summit of a hill about a mile from camp, so as to annoy us, a party, of which I was one, was detached, after dark, to occupy the hill secretly. We marched around the mission as privately as possible, and took our position on the hill, where we remained all night without the least disturbance, except by the tempestuous wind, which blew a blast so cold and piercing as almost to congeal the blood. When the sun rose in the morning, I could see, far out in the ocean, three vessels scudding before the gale like phantom ships. One of these was the little schooner that had been waiting upon us while marching along the "Rincon." Distance 14 miles.

January 6.—The wind has blown a gale in our faces all day, and the clouds of dust have been almost blinding. The mission of San Buenaventura does not differ, in its general features, from those of other establishments of the same kind heretofore described. There is a large garden, inclosed by a high wall, attached to the mission, in which I noticed a great variety of fruit-trees and ornamental shrubbery. There are also numerous inclosures, for cultivation, by willow hedges. The soil, when properly tilled, appears to be highly productive. This mission is situated about two miles from the shore of a small bay or indentation of the coast, on the edge of a plain or valley watered by the Rio Santa Clara, which empties into the Pacific at this point. A chain of small islands, from ten to twenty miles from the shore, commences at Santa Barbara, and extends south along the coast, to the bay of San Pedro. These islands present to the eye a barren appearance. At present the only inhabitants of the mission are a few Indians, the white population having abandoned it on our approach, with the exception of one man, who met us yesterday and surrendered himself a prisoner.

Proceeding up the valley about seven miles from the mission, we discovered at a distance a party of sixty or seventy mounted Californians, drawn up in order on the bank of the river. This, it was conjectured, might be only a portion of a much larger force stationed here, and concealed in a deep ravine which runs across the valley, or in the canadas of the hills on our left. Scouting-parties mounted the hills, for the purpose of ascertaining if such was the case. In the mean time, the party of Californians on our right scattered themselves over the plain, prancing their horses, waving their swords, banners, and lances, and performing a great variety of equestrian feats. They were mounted on fine horses, and there are no better horsemen, if as good, in the world, than Californians. They took especial care, however, to keep beyond the reach of cannon-shot. The battalion wheeled to the left for the purpose of crossing a point of hills jutting into the plain, and taking the supposed concealed party of the enemy on their flank. It was, however, found impracticable to cross the hills with the cannon; and, returning to the plain, the march was continued, the Californians still prancing and performing their antics in our faces. Our horses were so poor and feeble that it was impossible to chase them with any hope of success. As we proceeded, they retreated. Some of the Indian scouts, among whom were a Delaware named Tom, who distinguished himself in the engagement near San Juan, and a Californian Indian named Gregorio, rode towards them; and two or three guns were discharged on both sides, but without any damage, the parties not being within dangerous gun-shot distance of each other. The Californians then formed themselves in a body, and soon disappeared behind some hills on our right. We encamped about four o'clock in the valley, the wind blowing almost a hurricane, and the dust flying so as nearly to blind us. Distance 9 miles.

January 7.—Continuing our march up the valley, we encamped near the rancho of Carrillo, where we found an abundance of corn, wheat, and frijoles. The house was shut up, having been deserted by its proprietor, who is said to be connected with the rebellion. Californian scouts were seen occasionally to-day on the summits of the hills south of us. Distance 7 miles.

January 8.—Another tempestuous day. I do not remember ever to have experienced such disagreeable effects from the wind and the clouds of dust in which we were constantly enveloped, driving into our faces without intermission. We encamped this afternoon in a grove of willows near a rancho, where, as yesterday, we found corn and beans in abundance. Our horses, consequently, fare well, and we fare better than we have done. One-fourth of the battalion, exclusive of the regular guard, is kept under arms during the night, to be prepared against surprises and night-attacks. Distance 12 miles.

January 9.—Early this morning Captain Hamley, accompanied by a Californian as a guide, came into camp, with despatches from Commodore Stockton. The exact purport of these despatches I never learned, but it was understood that the commodore, in conjunction with General Kearny, was marching upon Los Angeles, and that, if they had not already reached and taken that town (the present capital of California), they were by this time in its neighbourhood. Captain Hamley passed, last night, the encampment of a party of Californians in our rear. He landed from a vessel at Santa Barbara, and from thence followed us to this place by land. We encamped this afternoon at a rancho, situated on the edge of a fertile and finely watered plain of considerable extent, where we found corn, wheat, and frijoles in great abundance. The rancho was owned and occupied by an aged Californian, of commanding and respectable appearance; I could not but feel compassion for the venerable old man, whose sons were now all absent and engaged in the war, while he, at home and unsupported, was suffering the unavoidable inconveniences and calamities resulting from an army being quartered upon him.

As we march south there appears to be a larger supply of wheat, maize, beans, and barley in the granaries of the ranchos. More attention is evidently given to the cultivation of the soil here than farther north, although neither the soil nor climate is so well adapted to the raising of crops. The Californian spies have shown themselves at various times to-day, on the summits of the hills on our right. Distance 12 miles.

January 10.—Crossing the plain, we encamped, about two o'clock P.M., in the mouth of a canada, through which we ascend over a difficult pass in a range of elevated hills between us and the plain of San Fernando, or Couenga. Some forty or fifty mounted Californians exhibited themselves on the summit of the pass during the afternoon. They were doubtless a portion of the same party that we met several days ago, just below San Buenaventura. A large number of cattle were collected in the plain and corralled, to be driven along to-morrow for subsistence. Distance 10 miles.

January 11.—The battalion this morning was divided into two parties; the main body, on foot, marching over a ridge of hills to the right of the road or trail; and the artillery, horses and baggage, with an advance-guard and escort, marching by the direct route. We found the pass narrow, and easily to be defended by brave and determined men against a greatly superior force; but when we had mounted the summit of the ridge there was no enemy, nor the sign of one, in sight. Descending into a canada on the other side, we halted until the main body came up to us, and then the whole force was again reunited, and the march continued.

Emerging from the hills, the advance party to which I was attached met two Californians, bareheaded, riding in great haste. They stated that they were from the mission of San Fernando; that the Californian forces had met the American forces under the command of General Kearny and Commodore Stockton, and had been defeated after two days' fighting; and that the Americans had yesterday marched into Los Angeles. They requested to be conducted immediately to Colonel Fremont, which request was complied with. A little farther on we met a Frenchman, who stated that he was the bearer of a letter from General Kearny, at Los Angeles, to Colonel Fremont. He confirmed the statement we had just heard, and was permitted to pass. Continuing our march, we entered the mission of San Fernando at one o'clock, and in about two hours the main body arrived, and the whole battalion encamped in the mission buildings.